8. I have 70 coins and 12 boxes. I want to distribute the coins in the boxes such that
(i) no two boxes contain the same number of coins, and
(ii) no box is empty.
Answer the following questions.
(a) Why is the task impossible?
[2 pts)
(b) Can condition (ii) be modified to make the task possible? If yes, what should this
condition be and why will this work? If no, why will any replacement for condition
(ii) not work?
(3 pts)
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